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Finding the Fourth Proportional to 436.19, 601.32 and 311.80

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Solution

The fourth proportional to 436.19, 601.32 and 311.80 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.19 : 601.32 = 311.80 : x
  2. Step 2: Convert to fraction form
    436.19/601.32 = 311.80/x
  3. Step 3: Cross multiply
    436.19x = 601.32 × 311.80
  4. Step 4: Simplify right side
    436.19x = 187,492.87
  5. Step 5: Solve for x
    x = 187,492.87/436.19
  6. Step 6: Final answer
    x = 429.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.